Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/146,705/862
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 457,705
Greatest Common Factor of Numerators i.e. GCF of 457,705 is 1 .
LCM of Denominators means LCM of 146,862 as per the given fractions.
LCM of 146,862 is 62926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 457,705 . The biggest common factor number is the GCF number.
So the greatest common factor 457,705 is 1.
Lets's calculate LCM of 146,862
2 | 146, 862 |
73, 431 |
∴ So the LCM of the given numbers is 2 x 73 x 431 = 62926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62926
Therefore, the GCF of Fractions 457/146,705/862 is 1/62926
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 146,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,862) x common factors =2 x 1 = 2
LCM(146,862) = ( 146 × 862 ) / 2
LCM(146,862) = 125852 / 2
LCM(146,862) = 62926
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 457/146, 705/862?
Answer: GCF of Numerators as per given numbers 457/146, 705/862 is
GCF of Numerators i.e. for 457,705 is 1
LCM of denominators i.e. for 146,862 is 62926.
Thus, GCF of Fractions is 1/62926.Finally, GCF of Fractions for 457/146, 705/862 is 1/62926.